1687-1812-2010-218573 1687-1812 Research Article <p>Some Weak Convergence Theorems for a Family of Asymptotically Nonexpansive Nonself Mappings</p> HaoYanzjhaoyan@yahoo.cn ChoSunYoungooly61@yahoo.co.kr QinXiaolongljjhqxl@yahoo.com.cn

School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316004, China

Department of Mathematics, Gyeongsang National University, Jinju 660-701, South Korea

Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China

 Fixed Point Theory and Applications 1687-1812 2010 2010 1 218573 http://www.fixedpointtheoryandapplications.com/content/2010/1/218573 10.1155/2010/218573 31820091611200917112009 2010The Author(s). This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A one-step iteration with errors is considered for a family of asymptotically nonexpansive nonself mappings. Weak convergence of the purposed iteration is obtained in a Banach space.

 Impact of Kirk's Results on the Development of Fixed Point Theory

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